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Attilio Palatini
Attilio Palatini (18 November 1889 – 24 August 1949) was an Italian mathematician born in Treviso. Biography Palatini was the seventh of the eight children of Michele (1855-1914) and Ilde Furlanetto (1856-1895). In 1900, during the celebrations for the election of his father to Parliament, he was blinded by a young man from Treviso, losing the use of one eye. He completed his secondary studies in Treviso. He graduated in mathematics in 1913 at the University of Padua, where he was a student of Ricci-Curbastro and of Levi-Civita. He taught rational mechanics at the Universities of Messina, Parma and Pavia. He was mainly involved in absolute differential calculus and in general relativity. Within this latter subject he gave a sound generalization of the variational principle. In 1919, Palatini wrote an important article where he proposed a new approach to the variational formulation of Einstein's gravitational field equations. In the same paper, Palatini also showed that the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Treviso
Treviso ( , ; vec, Trevixo) is a city and ''comune'' in the Veneto region of northern Italy. It is the capital of the province of Treviso and the municipality has 84,669 inhabitants (as of September 2017). Some 3,000 live within the Venetian walls (''le Mura'') or in the historical and monumental center; some 80,000 live in the urban center while the city hinterland has a population of approximately 170,000. The city is home to the headquarters of clothing retailer Benetton Group, Benetton, Sisley, Stefanel, Geox, Diadora and Lotto Sport Italia, appliance maker De'Longhi, and bicycle maker Pinarello. Treviso is also known for being the original production area of Prosecco wine and radicchio, and is thought to have been the origin of the popular Italian dessert Tiramisù. History Ancient era Some believe that Treviso derived its name from the Celtic word "tarvos" mixed with the Latin ending "isium" forming "Tarvisium", of the tarvos. Tarvos means bull in Celtic mytho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Variational Principle
In science and especially in mathematical studies, a variational principle is one that enables a problem to be solved using calculus of variations, which concerns finding functions that optimize the values of quantities that depend on those functions. For example, the problem of determining the shape of a hanging chain suspended at both ends—a catenary—can be solved using variational calculus, and in this case, the variational principle is the following: The solution is a function that minimizes the gravitational potential energy of the chain. Overview Any physical law which can be expressed as a variational principle describes a self-adjoint operator. These expressions are also called Hermitian. Such an expression describes an invariant under a Hermitian transformation. History Felix Klein's Erlangen program attempted to identify such invariants under a group of transformations. In what is referred to in physics as Noether's theorem, the Poincaré group of transformations ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Pavia Faculty
A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities typically offer both undergraduate education, undergraduate and postgraduate education, postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Padua Alumni
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century Italian Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Italian Relativity Theorists
Italian(s) may refer to: * Anything of, from, or related to the people of Italy over the centuries ** Italians, an ethnic group or simply a citizen of the Italian Republic or Italian Kingdom ** Italian language, a Romance language *** Regional Italian, regional variants of the Italian language ** Languages of Italy, languages and dialects spoken in Italy ** Italian culture, cultural features of Italy ** Italian cuisine, traditional foods ** Folklore of Italy, the folklore and urban legends of Italy ** Mythology of Italy, traditional religion and beliefs Other uses * Italian dressing, a vinaigrette-type salad dressing or marinade * Italian or Italian-A, alternative names for the Ping-Pong virus, an extinct computer virus See also * * * Italia (other) * Italic (other) * Italo (other) * The Italian (other) * Italian people (other) Italian people may refer to: * in terms of ethnicity: all ethnic Italians, in and outside of Italy * in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometers
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky. The simplest examples of smooth spaces are the plane and space curves and surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds. A geometric structure is one which defines some notion of size, distance, shape, volume, or other rigidifying structur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1949 Deaths
Events January * January 1 – A United Nations-sponsored ceasefire brings an end to the Indo-Pakistani War of 1947. The war results in a stalemate and the division of Kashmir, which still continues as of 2022. * January 2 – Luis Muñoz Marín becomes the first democratically elected Governor of Puerto Rico. * January 11 – The first "networked" television broadcasts take place, as KDKA-TV in Pittsburgh, Pennsylvania goes on the air, connecting east coast and mid-west programming in the United States. * January 16 – Şemsettin Günaltay forms the new government of Turkey. It is the 18th government, last single party government of the Republican People's Party. * January 17 – The first VW Type 1 to arrive in the United States, a 1948 model, is brought to New York by Dutch businessman Ben Pon. Unable to interest dealers or importers in the Volkswagen, Pon sells the sample car to pay his travel expenses. Only two 1949 models are sold in America tha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1889 Births
Events January–March * January 1 ** The total solar eclipse of January 1, 1889 is seen over parts of California and Nevada. ** Paiute spiritual leader Wovoka experiences a vision, leading to the start of the Ghost Dance movement in the Dakotas. * January 4 – An Act to Regulate Appointments in the Marine Hospital Service of the United States is signed by President Grover Cleveland. It establishes a Commissioned Corps of officers, as a predecessor to the modern-day U.S. Public Health Service Commissioned Corps. * January 5 – Preston North End F.C. is declared the winner of the inaugural Football League in England. * January 8 – Herman Hollerith receives a patent for his electric tabulating machine in the United States. * January 15 – The Coca-Cola Company is originally incorporated as the Pemberton Medicine Company in Atlanta, Georgia. * January 22 – Columbia Phonograph is formed in Washington, D.C. * January 30 – Rudolf, Crown Prince of Austria and his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tetradic Palatini Action
The Einstein–Hilbert action for general relativity was first formulated purely in terms of the space-time metric. To take the metric and affine connection as independent variables in the action principle was first considered by Palatini. It is called a first order formulation as the variables to vary over involve only up to first derivatives in the action and so doesn't overcomplicate the Euler–Lagrange equations with higher derivative terms. The tetradic Palatini action is another first-order formulation of the Einstein–Hilbert action in terms of a different pair of independent variables, known as frame fields and the spin connection. The use of frame fields and spin connections are essential in the formulation of a generally covariant fermionic action (see the article spin connection for more discussion of this) which couples fermions to gravity when added to the tetradic Palatini action. Not only is this needed to couple fermions to gravity and makes the tetradic actio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Self-dual Palatini Action
Ashtekar variables, which were a new canonical formalism of general relativity, raised new hopes for the canonical quantization of general relativity and eventually led to loop quantum gravity. Smolin and others independently discovered that there exists in fact a Lagrangian formulation of the theory by considering the self-dual formulation of the Tetradic Palatini action principle of general relativity. These proofs were given in terms of spinors. A purely tensorial proof of the new variables in terms of triads was given by Goldberg and in terms of tetrads by Henneaux et al. The Palatini action The Palatini action for general relativity has as its independent variables the tetrad e_I^\alpha and a spin connection ^. Much more details and derivations can be found in the article tetradic Palatini action. The spin connection defines a covariant derivative D_\alpha. The space-time metric is recovered from the tetrad by the formula g_ = e^I_\alpha e^J_\beta \eta_. We define the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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